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Y. Shtessel, C. Edwards, L. Fridman, A. Levant (2013)
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Problem of tracking in linear systems with parametric uncertainties under unstable zero dynamicsAutomation and Remote Control, 75
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Linear Multivariable Control: A Geometric Approach
In practical applications of automatic control theory, one often deals with situations wherethe controls must range in some domain, in particular, take only nonnegative values. In this case,popular synthesis methods such as modal and optimal control are not applicable. We proposemethods for stabilizing the output variables in linear time-invariant SISO systems undernonnegative (unilateral) control constraints. The main idea is to implement the controls in theform of saturated linear functions whose saturation values coincide with the constraints on thecontrols. As an illustration of our algorithms, a pulsed DC voltage converter with an on/off switchcontrol is considered. The results of simulation in Matlab Simulink are presented.
Automation and Remote Control – Springer Journals
Published: Aug 1, 2021
Keywords: stabilization problem; unilateral control constraint; invariance; pulsed DC voltage converter
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